Determine the end behavior of the graph of the function. m (x) = – 4(x+1)(3x- 2)²(x+ 5)ª As x → - 00, m (x) → , and as x → 00, m (x) - 00 -0-

Q: 1. Let glø) = x² - 5x +2.

A: Given that: g(x)=x2-5x+2

Q: f(x) = x - 6x + 9x – 6 For this function, on [-1,5] interval, the absolute maximum is 10 and the…

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Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: -(x) u'00-x n(x) = -2(x-3)(3x-2)°(r+4) Determine the end behavior of the graph of the function.

A: We will use limit to find the results

Q: Determine the end behavior of the graph of the function. p(x)=-3x (2-x)(3x-5) As x-0, p (x) - and as…

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Q: Find a so that the point (-1,2) is on the graph of f(x)= ax2 + 4.

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Q: Зх-2 p) Find the domain of the function f(x) 3D 5x2+4x-1

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Q: Let f(x) = 3x³ – 4x² – 6x + 1. a. The degree of the function is so the graph of the function has at…

A: The given function is f(x)=3x3-4x2-6x+1 ...................(1)

Q: Q3) Let f(x) = x², draw the graph of (x + 2)², what is type of this shifting and what is the value…

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Q: Let f(x) = -0.4x² + 7x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: - 5. Sketch the graph of f(x)= x² – 5x + 6 using the Vertex and the X-intercept. Identify the axis…

A: Explanation of the answer is as follows

Q: -9x+10 2. Let f(x) = Determine if the function is continuous and show the graph of the function. x-2

A: Let's find.

Q: Consider the function h (x) = 2x^2 – 8x – 10. Find its vertex

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Q: 3 -x'+8 As x→-0, f(x) → ), and as x→0, f(x) → |

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Q: C D A= Ao C= A0 II. Select one of the four sketches to describe the end behavior of the graph of th…

A: To find end behavior, degree of leading term and sign of leading coefficient of graph shown in…

Q: (x² – 3 if x<2 5-x if x22 Sketch the graph of the piecewise defined function: g(x)=<

A: The given function is:

Q: The graph of the function f(x) = ax2 + bx + c has vertex at (1, 4) and passes through the point ( -…

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Q: skecth the graph a) f(x)=(x-2)2(x+3)   b)f(x) = x2-1/x   c)f(x) = 2x/x2-1    d)f(x) = -23 + 7x2 - 2x…

A: To sketch the graph of given function :

Q: Let H(x) = 2f(x) + 5g(x), where the graphs of f and g are shown in the figure to the right. Find…

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Q: -6x - 18 if x -3 fy the general shape and direction of the graph of this function on the interval…

A: We are asked to identify the general shape

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

Q: Let f(x) = -0.4x² + 13x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.

A: f(x)=2x2+5g(x)=3x+a

Q: The function f ( x 22+2x–15 x²+9x+20 has a vertical asymptote at x =-5.

A: Vertical asymptote of a function is the line x=a such that the function is undefined at x=a. A line…

Q: Find c so that the graph of f(x) = cx2-or-2 has a point of infection at (4T4)) a) OCf64 b) OcF128 c)…

A: It known that, an inflection is a point (c, f(c) on the graph of f when the concavity changes.Find…

Q: 10-Draw the graph of y=-2 (x-2)²+3 based on the power function f(x)=x' also determine the domain and…

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Q: 1. For the linear function f(x) = -4x + 3, (a) Find the slope and y-intercept. (b) Determine whether…

A: Slope of y=-4x+3:   Axis interception points of -4x+3:

Q: B/Find the oblique asymptote of the function f(x) -3x²+2 x-1

A: To find The slant asymptote of f(x)

Q: Given the function C(a) = (x-4) (x + 6) (x - 1) its C-intercept is its x-intercepts are

A: Solution is given below:

Q: Let f(x) = -0.4x² + 12x -12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: Select the root(s) of the quadratic function f (x) = x2 + x - 6 -3 -2 -6 6 The y intercept point of…

A: We have to check

Q: x²+7x Consider the graph of the function f (x) = x3 –5x²–14x' Where is the removable discontinuity?…

A: We will factor both numerator and denominator

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

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Q: Draw by hand a rough sketch of the graph of the function. P(x) =x" +5x-3x = (x + 5)(x+1) (x-2) -…

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Q: If f(x) = kx' + x² – kx +2, find k such that the graph of f contains the point (2, 12).

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Q: Find a so that the point ( - 1, 2) is on the graph of f(x) = ax2 + 4.

A: We have to find a so that the point -1, 2 is lying on the graph of function fx=ax2+4. Since point…

Q: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4).

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Q: Use the graph of f(x) 5 %3D to sketch the graph of g. g(x) = %3D X-9 y 10 f(x)= 5 -4 -2 2 4 -5F 51X

A: As g(x) = f(x - 9)  So just shift the graph of f(x) right side by 9 unit.

Q: Consider the function g(x) = x² + 4x – What is the vertex of g ? The x -intercept(s) of g is/are…

A: First, we will convert the given equation into the vertex form by completing the squares.

Q: 2. Let -x2 12x – 32, x 6 2 (a) Sketch the graph of f. (b) Identify the domain, range, and zeros of…

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Q: Use transformations to graph the given function. 3) p(x) - -3x + 3| - 1

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Q: F

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Q: Find the vertex of the graph. f(x) = −x2 + 6x + 1

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Q: Use the graph of y g (x) to graph the given function. 3- 2- y = g (x) 1- 4 -3 -2 4 -1 -3- y=g(-x) 4-…

A: Topic:- transportation

Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b&gt;4B When is the function increasing and when is…

A: Function is increasing where slope f’(x) &gt;0 and decreasing where f’(x) &lt;0. Find the derivative…

Q: 6. Find the x-intercepts and determine whether the graph of the function crosses the x-axis at each…

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Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).

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Q: The zeros of the function f(x)=x'-9x are 1) 9, only 2) 0 and 9 3) 0 and 3, only 4) -3, 0, and 3

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